Question: If (mathbf{F}(P)=mathbf{n}(P)) at each point on (mathcal{S}), then (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) is equal to which of the following? (a) Zero (b) (operatorname{Area}(mathcal{S})) (c)

If $\mathbf{F}(P)=\mathbf{n}(P)$ at each point on $\mathcal{S}$, then $\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}$ is equal to which of the following?
(a) Zero
(b) $\operatorname{Area}(\mathcal{S})$
(c) Neither

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